document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=207531>Question 207531</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the vectors v = -2i + 5j and w = 3i + 4j, determine\r<BR>\n" );
document.write( "\n" );
document.write( "#1    1/2 v\r<BR>\n" );
document.write( "\n" );
document.write( "#2    w - v\r<BR>\n" );
document.write( "\n" );
document.write( "#3   length of w\r<BR>\n" );
document.write( "\n" );
document.write( "#4   the unit vector for v </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #156945 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=156945\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the vectors v = -2i + 5j and w = 3i + 4j, determine <BR>\n" );
document.write( "#1 1/2 v<BR>\n" );
document.write( "= -i + (5/2)j<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "#2 w - v<BR>\n" );
document.write( "= 5i - j<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "#3 length of w<BR>\n" );
document.write( "= sqrt(3^2 + 4^2) = 5<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "#4 the unit vector for v<BR>\n" );
document.write( "= v/length of v<BR>\n" );
document.write( "= v/sqrt(2^2 + 5^2) = v/sqrt(29) = vsqrt(29)/29<BR>\n" );
document.write( "= - 2i*sqrt(29)/29 + 5j*sqrt(29)/29<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );